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Finding the Third Proportional to 66.94 and 72.75

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Solution

The third proportional to 66.94 and 72.75 is: 79.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.94 : 72.75 = 72.75 : x
  2. Step 2: Convert to fraction form
    66.94/72.75 = 72.75/x
  3. Step 3: Cross multiply
    66.94x = 72.75 × 72.75
  4. Step 4: Simplify right side
    66.94x = 5,292.56
  5. Step 5: Solve for x
    x = 5,292.56/66.94
  6. Step 6: Final answer
    x = 79.07

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.